Finite Size Scaling of Topological Entanglement Entropy

Abstract

We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, which scales as $L^{-1/α}$ with the size of the subsystem $L$, here $α$ is the Rényi index. This term reveals the universal scaling function $h_α(L/ξ)$, where $ξ$ is the correlation length, which is sensitive to the topological index.